Nonlinear Schrödinger equation on four-dimensional compact manifolds

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dc.creatorGérard, P.
dc.creatorPierfelice, V.
dc.date2005-08-06
dc.date2005-09-14
dc.date.accessioned2026-07-07T05:22:15Z
dc.date.available2026-07-07T05:22:15Z
dc.descriptionWe prove two new results about the Cauchy problem for nonlinear Schroedinger equations on four-dimensional compact manifolds. The first one concerns global wellposedness for Hartree-type nonlinearities and includes approximations of cubic NLS on the sphere. The second one provides local wellposedness for quadratic nonlinearities in the case of zonal data on the sphere. Both results are based on new multilinear Strichartz-type estimates for the Schroedinger group.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/math/0508116
dc.identifierhttp://arxiv.org/abs/math/0508116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75986
dc.subjectAnalysis of PDEs
dc.subject58J99
dc.titleNonlinear Schrödinger equation on four-dimensional compact manifolds
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